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Finding the Fourth Proportional to 5,766.43, 7,957.80 and 3,248.68

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Solution

The fourth proportional to 5,766.43, 7,957.80 and 3,248.68 is: 4,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.43 : 7,957.80 = 3,248.68 : x
  2. Step 2: Convert to fraction form
    5,766.43/7,957.80 = 3,248.68/x
  3. Step 3: Cross multiply
    5,766.43x = 7,957.80 × 3,248.68
  4. Step 4: Simplify right side
    5,766.43x = 25,852,345.70
  5. Step 5: Solve for x
    x = 25,852,345.70/5,766.43
  6. Step 6: Final answer
    x = 4,483.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.